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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2013 Christian Seiler &lt;christian@iwakd.de&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_CXX11META_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_CXX11META_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;EmulateArray.h&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &quot;CXX11Workarounds.h&quot;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span>... tt&gt;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">struct </span>type_list { constexpr <span class="keyword">static</span> <span class="keywordtype">int</span> count = <span class="keyword">sizeof</span>...(tt); };</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160; </div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> t, <span class="keyword">typename</span>... tt&gt;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="keyword">struct </span>type_list&lt;t, tt...&gt; { constexpr <span class="keyword">static</span> <span class="keywordtype">int</span> count = <span class="keyword">sizeof</span>...(tt) + 1; <span class="keyword">typedef</span> t first_type; };</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T... nn&gt;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">struct </span>numeric_list { constexpr <span class="keyword">static</span> std::size_t count = <span class="keyword">sizeof</span>...(nn); };</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T n, T... nn&gt;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">struct </span>numeric_list&lt;T, n, nn...&gt; { <span class="keyword">static</span> constexpr std::size_t count = <span class="keyword">sizeof</span>...(nn) + 1;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                   <span class="keyword">static</span> constexpr T first_value = n; };</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160; </div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#ifndef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment">/* numeric list constructors</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment"> * equivalencies:</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment"> *     constructor                                              result</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment"> *     typename gen_numeric_list&lt;int, 5&gt;::type                  numeric_list&lt;int, 0,1,2,3,4&gt;</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment"> *     typename gen_numeric_list_reversed&lt;int, 5&gt;::type         numeric_list&lt;int, 4,3,2,1,0&gt;</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment"> *     typename gen_numeric_list_swapped_pair&lt;int, 5,1,2&gt;::type numeric_list&lt;int, 0,2,1,3,4&gt;</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="comment"> *     typename gen_numeric_list_repeated&lt;int, 0, 5&gt;::type      numeric_list&lt;int, 0,0,0,0,0&gt;</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, std::size_t n, T start = 0, T... ii&gt; <span class="keyword">struct </span>gen_numeric_list                     : gen_numeric_list&lt;T, n-1, start, start + n-1, ii...&gt; {};</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T start, T... ii&gt;                    <span class="keyword">struct </span>gen_numeric_list&lt;T, 0, start, ii...&gt; { <span class="keyword">typedef</span> numeric_list&lt;T, ii...&gt; type; };</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, std::size_t n, T start = 0, T... ii&gt; <span class="keyword">struct </span>gen_numeric_list_reversed                     : gen_numeric_list_reversed&lt;T, n-1, start, ii..., start + n-1&gt; {};</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T start, T... ii&gt;                    <span class="keyword">struct </span>gen_numeric_list_reversed&lt;T, 0, start, ii...&gt; { <span class="keyword">typedef</span> numeric_list&lt;T, ii...&gt; type; };</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, std::size_t n, T a, T b, T start = 0, T... ii&gt; <span class="keyword">struct </span>gen_numeric_list_swapped_pair                           : gen_numeric_list_swapped_pair&lt;T, n-1, a, b, start, (start + n-1) == a ? b : ((start + n-1) == b ? a : (start + n-1)), ii...&gt; {};</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T a, T b, T start, T... ii&gt;                    <span class="keyword">struct </span>gen_numeric_list_swapped_pair&lt;T, 0, a, b, start, ii...&gt; { <span class="keyword">typedef</span> numeric_list&lt;T, ii...&gt; type; };</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, std::size_t n, T V, T... nn&gt; <span class="keyword">struct </span>gen_numeric_list_repeated                 : gen_numeric_list_repeated&lt;T, n-1, V, V, nn...&gt; {};</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T V, T... nn&gt;                <span class="keyword">struct </span>gen_numeric_list_repeated&lt;T, 0, V, nn...&gt; { <span class="keyword">typedef</span> numeric_list&lt;T, nn...&gt; type; };</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment">/* list manipulation: concatenate */</span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> a, <span class="keyword">class</span> b&gt; <span class="keyword">struct </span>concat;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span>... as, <span class="keyword">typename</span>... bs&gt; <span class="keyword">struct </span>concat&lt;type_list&lt;as...&gt;,       type_list&lt;bs...&gt;&gt;        { <span class="keyword">typedef</span> type_list&lt;as..., bs...&gt; type; };</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T... as, T... bs&gt;   <span class="keyword">struct </span>concat&lt;numeric_list&lt;T, as...&gt;, numeric_list&lt;T, bs...&gt; &gt; { <span class="keyword">typedef</span> numeric_list&lt;T, as..., bs...&gt; type; };</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160; </div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span>... p&gt; <span class="keyword">struct </span>mconcat;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> a&gt;                             <span class="keyword">struct </span>mconcat&lt;a&gt;           { <span class="keyword">typedef</span> a type; };</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> a, <span class="keyword">typename</span> b&gt;                 <span class="keyword">struct </span>mconcat&lt;a, b&gt;        : concat&lt;a, b&gt; {};</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> a, <span class="keyword">typename</span> b, <span class="keyword">typename</span>... cs&gt; <span class="keyword">struct </span>mconcat&lt;a, b, cs...&gt; : concat&lt;a, typename mconcat&lt;b, cs...&gt;::type&gt; {};</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160; </div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="comment">/* list manipulation: extract slices */</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160; </div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span> x&gt; <span class="keyword">struct </span>take;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span> a, <span class="keyword">typename</span>... as&gt; <span class="keyword">struct </span>take&lt;n, type_list&lt;a, as...&gt;&gt; : concat&lt;type_list&lt;a&gt;, typename take&lt;n-1, type_list&lt;as...&gt;&gt;::type&gt; {};</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n&gt;                             <span class="keyword">struct </span>take&lt;n, type_list&lt;&gt;&gt;         { <span class="keyword">typedef</span> type_list&lt;&gt; type; };</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> a, <span class="keyword">typename</span>... as&gt;        <span class="keyword">struct </span>take&lt;0, type_list&lt;a, as...&gt;&gt; { <span class="keyword">typedef</span> type_list&lt;&gt; type; };</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="keyword">template</span>&lt;&gt;                                  <span class="keyword">struct </span>take&lt;0, type_list&lt;&gt;&gt;         { <span class="keyword">typedef</span> type_list&lt;&gt; type; };</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> n, T a, T... as&gt; <span class="keyword">struct </span>take&lt;n, numeric_list&lt;T, a, as...&gt;&gt; : concat&lt;numeric_list&lt;T, a&gt;, typename take&lt;n-1, numeric_list&lt;T, as...&gt;&gt;::type&gt; {};</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="comment">// XXX The following breaks in gcc-11, and is invalid anyways.</span></div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="comment">// template&lt;typename T, int n&gt;               struct take&lt;n, numeric_list&lt;T&gt;&gt;           { typedef numeric_list&lt;T&gt; type; };</span></div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T a, T... as&gt;        <span class="keyword">struct </span>take&lt;0, numeric_list&lt;T, a, as...&gt;&gt; { <span class="keyword">typedef</span> numeric_list&lt;T&gt; type; };</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;                      <span class="keyword">struct </span>take&lt;0, numeric_list&lt;T&gt;&gt;           { <span class="keyword">typedef</span> numeric_list&lt;T&gt; type; };</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160; </div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> n, T... ii&gt;      <span class="keyword">struct </span>h_skip_helper_numeric;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> n, T i, T... ii&gt; <span class="keyword">struct </span>h_skip_helper_numeric&lt;T, n, i, ii...&gt; : h_skip_helper_numeric&lt;T, n-1, ii...&gt; {};</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T i, T... ii&gt;        <span class="keyword">struct </span>h_skip_helper_numeric&lt;T, 0, i, ii...&gt; { <span class="keyword">typedef</span> numeric_list&lt;T, i, ii...&gt; type; };</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> n&gt;               <span class="keyword">struct </span>h_skip_helper_numeric&lt;T, n&gt;           { <span class="keyword">typedef</span> numeric_list&lt;T&gt; type; };</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;                      <span class="keyword">struct </span>h_skip_helper_numeric&lt;T, 0&gt;           { <span class="keyword">typedef</span> numeric_list&lt;T&gt; type; };</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160; </div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span>... tt&gt;             <span class="keyword">struct </span>h_skip_helper_type;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span> t, <span class="keyword">typename</span>... tt&gt; <span class="keyword">struct </span>h_skip_helper_type&lt;n, t, tt...&gt; : h_skip_helper_type&lt;n-1, tt...&gt; {};</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> t, <span class="keyword">typename</span>... tt&gt;        <span class="keyword">struct </span>h_skip_helper_type&lt;0, t, tt...&gt; { <span class="keyword">typedef</span> type_list&lt;t, tt...&gt; type; };</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n&gt;                             <span class="keyword">struct </span>h_skip_helper_type&lt;n&gt;           { <span class="keyword">typedef</span> type_list&lt;&gt; type; };</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="keyword">template</span>&lt;&gt;                                  <span class="keyword">struct </span>h_skip_helper_type&lt;0&gt;           { <span class="keyword">typedef</span> type_list&lt;&gt; type; };</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="preprocessor">#endif </span><span class="comment">//not EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n&gt;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="keyword">struct </span>h_skip {</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T... ii&gt;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">typename</span> h_skip_helper_numeric&lt;T, n, ii...&gt;::type helper(numeric_list&lt;T, ii...&gt;) { <span class="keywordflow">return</span> <span class="keyword">typename</span> h_skip_helper_numeric&lt;T, n, ii...&gt;::type(); }</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>... tt&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">typename</span> h_skip_helper_type&lt;n, tt...&gt;::type helper(type_list&lt;tt...&gt;) { <span class="keywordflow">return</span> <span class="keyword">typename</span> h_skip_helper_type&lt;n, tt...&gt;::type(); }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;};</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160; </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span> a&gt; <span class="keyword">struct </span>skip { <span class="keyword">typedef</span> decltype(h_skip&lt;n&gt;::helper(a())) type; };</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160; </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;template&lt;<span class="keywordtype">int</span> start, <span class="keywordtype">int</span> count, typename a&gt; struct slice : take&lt;count, typename skip&lt;start, a&gt;::type&gt; {};</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="comment">/* list manipulation: retrieve single element from list */</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160; </div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span> x&gt; <span class="keyword">struct </span>get;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160; </div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span> a, <span class="keyword">typename</span>... as&gt;               <span class="keyword">struct </span>get&lt;n, type_list&lt;a, as...&gt;&gt;   : get&lt;n-1, type_list&lt;as...&gt;&gt; {};</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> a, <span class="keyword">typename</span>... as&gt;                      <span class="keyword">struct </span>get&lt;0, type_list&lt;a, as...&gt;&gt;   { <span class="keyword">typedef</span> a type; };</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160; </div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> n, T a, T... as&gt;                        <span class="keyword">struct </span>get&lt;n, numeric_list&lt;T, a, as...&gt;&gt;   : get&lt;n-1, numeric_list&lt;T, as...&gt;&gt; {};</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T a, T... as&gt;                               <span class="keyword">struct </span>get&lt;0, numeric_list&lt;T, a, as...&gt;&gt;   { constexpr <span class="keyword">static</span> T value = a; };</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="keyword">template</span>&lt;std::size_t n, <span class="keyword">typename</span> T, T a, T... as&gt; constexpr T       array_get(<span class="keyword">const</span> numeric_list&lt;T, a, as...&gt;&amp;) {</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;   <span class="keywordflow">return</span> get&lt;(int)n, numeric_list&lt;T, a, as...&gt;&gt;::value;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;}</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160; </div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="comment">/* always get type, regardless of dummy; good for parameter pack expansion */</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160; </div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, T dummy, <span class="keyword">typename</span> t&gt; <span class="keyword">struct </span>id_numeric  { <span class="keyword">typedef</span> t type; };</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> dummy, <span class="keyword">typename</span> t&gt;      <span class="keyword">struct </span>id_type     { <span class="keyword">typedef</span> t type; };</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160; </div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">/* equality checking, flagged version */</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160; </div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> a, <span class="keyword">typename</span> b&gt; <span class="keyword">struct </span>is_same_gf : is_same&lt;a, b&gt; { constexpr <span class="keyword">static</span> <span class="keywordtype">int</span> global_flags = 0; };</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160; </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="comment">/* apply_op to list */</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160; </div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  <span class="keywordtype">bool</span> from_left, <span class="comment">// false</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>op,</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  <span class="keyword">typename</span> additional_param,</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  <span class="keyword">typename</span>... values</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;&gt;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="keyword">struct </span>h_apply_op_helper                                        { <span class="keyword">typedef</span> type_list&lt;typename op&lt;values, additional_param&gt;::type...&gt; type; };</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>op,</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  <span class="keyword">typename</span> additional_param,</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  <span class="keyword">typename</span>... values</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;&gt;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="keyword">struct </span>h_apply_op_helper&lt;true, op, additional_param, values...&gt; { <span class="keyword">typedef</span> type_list&lt;typename op&lt;additional_param, values&gt;::type...&gt; type; };</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160; </div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;  <span class="keywordtype">bool</span> from_left,</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>op,</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  <span class="keyword">typename</span> additional_param</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;&gt;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="keyword">struct </span>h_apply_op</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;{</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>... values&gt;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  constexpr <span class="keyword">static</span> <span class="keyword">typename</span> h_apply_op_helper&lt;from_left, op, additional_param, values...&gt;::type helper(type_list&lt;values...&gt;)</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  { <span class="keywordflow">return</span> <span class="keyword">typename</span> h_apply_op_helper&lt;from_left, op, additional_param, values...&gt;::type(); }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;};</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>op,</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  <span class="keyword">typename</span> additional_param,</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="keyword">typename</span> a</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;&gt;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="keyword">struct </span>apply_op_from_left { <span class="keyword">typedef</span> decltype(h_apply_op&lt;true, op, additional_param&gt;::helper(a())) type; };</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160; </div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;template&lt;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  template&lt;typename, typename&gt; class op,</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  typename additional_param,</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  typename a</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;&gt;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;struct apply_op_from_right { <span class="keyword">typedef</span> decltype(h_apply_op&lt;false, op, additional_param&gt;::helper(a())) type; };</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160; </div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;<span class="comment">/* see if an element is in a list */</span></div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160; </div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;template&lt;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  template&lt;typename, typename&gt; class test,</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  typename check_against,</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;  typename h_list,</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  <span class="keywordtype">bool</span> last_check_positive = false</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;&gt;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;struct contained_in_list;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160; </div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;template&lt;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;  template&lt;typename, typename&gt; class test,</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  typename check_against,</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  typename h_list</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;&gt;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;struct contained_in_list&lt;test, check_against, h_list, true&gt;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;{</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;  constexpr <span class="keyword">static</span> <span class="keywordtype">bool</span> value = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;};</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160; </div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>test,</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;  <span class="keyword">typename</span> check_against,</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  <span class="keyword">typename</span> a,</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;  <span class="keyword">typename</span>... as</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;&gt;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="keyword">struct </span>contained_in_list&lt;test, check_against, type_list&lt;a, as...&gt;, false&gt; : contained_in_list&lt;test, check_against, type_list&lt;as...&gt;, test&lt;check_against, a&gt;::value&gt; {};</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160; </div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>test,</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;  <span class="keyword">typename</span> check_against</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;  EIGEN_TPL_PP_SPEC_HACK_DEFC(<span class="keyword">typename</span>, empty)</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;&gt;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="keyword">struct </span>contained_in_list&lt;test, check_against, type_list&lt;EIGEN_TPL_PP_SPEC_HACK_USE(empty)&gt;, false&gt; { constexpr <span class="keyword">static</span> <span class="keywordtype">bool</span> value = <span class="keyword">false</span>; };</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160; </div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="comment">/* see if an element is in a list and check for global flags */</span></div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>test,</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;  <span class="keyword">typename</span> check_against,</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;  <span class="keyword">typename</span> h_list,</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;  <span class="keywordtype">int</span> default_flags = 0,</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  <span class="keywordtype">bool</span> last_check_positive = <span class="keyword">false</span>,</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;  <span class="keywordtype">int</span> last_check_flags = default_flags</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;&gt;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="keyword">struct </span>contained_in_list_gf;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160; </div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>test,</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;  <span class="keyword">typename</span> check_against,</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;  <span class="keyword">typename</span> h_list,</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;  <span class="keywordtype">int</span> default_flags,</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  <span class="keywordtype">int</span> last_check_flags</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;&gt;</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="keyword">struct </span>contained_in_list_gf&lt;test, check_against, h_list, default_flags, true, last_check_flags&gt;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;{</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  constexpr <span class="keyword">static</span> <span class="keywordtype">bool</span> value = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  constexpr <span class="keyword">static</span> <span class="keywordtype">int</span> global_flags = last_check_flags;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;};</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160; </div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>test,</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;  <span class="keyword">typename</span> check_against,</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  <span class="keyword">typename</span> a,</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  <span class="keyword">typename</span>... as,</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;  <span class="keywordtype">int</span> default_flags,</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;  <span class="keywordtype">int</span> last_check_flags</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;&gt;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="keyword">struct </span>contained_in_list_gf&lt;test, check_against, type_list&lt;a, as...&gt;, default_flags, false, last_check_flags&gt; : contained_in_list_gf&lt;test, check_against, type_list&lt;as...&gt;, default_flags, test&lt;check_against, a&gt;::value, test&lt;check_against, a&gt;::global_flags&gt; {};</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160; </div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>, <span class="keyword">typename</span>&gt; <span class="keyword">class </span>test,</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  <span class="keyword">typename</span> check_against</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  EIGEN_TPL_PP_SPEC_HACK_DEFC(<span class="keyword">typename</span>, empty),</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;  <span class="keywordtype">int</span> default_flags,</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;  <span class="keywordtype">int</span> last_check_flags</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;&gt;</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="keyword">struct </span>contained_in_list_gf&lt;test, check_against, type_list&lt;EIGEN_TPL_PP_SPEC_HACK_USE(empty)&gt;, default_flags, false, last_check_flags&gt; { constexpr <span class="keyword">static</span> <span class="keywordtype">bool</span> value = <span class="keyword">false</span>; constexpr <span class="keyword">static</span> <span class="keywordtype">int</span> global_flags = default_flags; };</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160; </div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="comment">/* generic reductions */</span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160; </div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;  <span class="keyword">typename</span> Reducer,</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;  <span class="keyword">typename</span>... Ts</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;&gt; <span class="keyword">struct </span>reduce;</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160; </div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;  <span class="keyword">typename</span> Reducer</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;&gt; <span class="keyword">struct </span>reduce&lt;Reducer&gt;</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;{</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keywordtype">int</span> run() { <span class="keywordflow">return</span> Reducer::Identity; }</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;};</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160; </div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;  <span class="keyword">typename</span> Reducer,</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;  <span class="keyword">typename</span> A</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;&gt; <span class="keyword">struct </span>reduce&lt;Reducer, A&gt;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;{</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;  EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE A run(A a) { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;};</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160; </div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;<span class="keyword">template</span>&lt;</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;  <span class="keyword">typename</span> Reducer,</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;  <span class="keyword">typename</span> A,</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;  <span class="keyword">typename</span>... Ts</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;&gt; <span class="keyword">struct </span>reduce&lt;Reducer, A, Ts...&gt;</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;{</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, Ts... ts) -&gt; decltype(Reducer::run(a, reduce&lt;Reducer, Ts...&gt;::run(ts...))) {</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;    <span class="keywordflow">return</span> Reducer::run(a, reduce&lt;Reducer, Ts...&gt;::run(ts...));</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  }</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;};</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160; </div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;<span class="comment">/* generic binary operations */</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160; </div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;<span class="keyword">struct </span>sum_op           {</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a + b)   { <span class="keywordflow">return</span> a + b;   }</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  <span class="keyword">static</span> constexpr <span class="keywordtype">int</span> Identity = 0;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;};</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;<span class="keyword">struct </span>product_op       {</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a * b)   { <span class="keywordflow">return</span> a * b;   }</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;  <span class="keyword">static</span> constexpr <span class="keywordtype">int</span> Identity = 1;</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;};</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160; </div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="keyword">struct </span>logical_and_op   { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a &amp;&amp; b)  { <span class="keywordflow">return</span> a &amp;&amp; b;  } };</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;<span class="keyword">struct </span>logical_or_op    { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a || b)  { <span class="keywordflow">return</span> a || b;  } };</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160; </div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;<span class="keyword">struct </span>equal_op         { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a == b)  { <span class="keywordflow">return</span> a == b;  } };</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;<span class="keyword">struct </span>not_equal_op     { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a != b)  { <span class="keywordflow">return</span> a != b;  } };</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;<span class="keyword">struct </span>lesser_op        { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a &lt; b)   { <span class="keywordflow">return</span> a &lt; b;   } };</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;<span class="keyword">struct </span>lesser_equal_op  { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a &lt;= b)  { <span class="keywordflow">return</span> a &lt;= b;  } };</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="keyword">struct </span>greater_op       { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a &gt; b)   { <span class="keywordflow">return</span> a &gt; b;   } };</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;<span class="keyword">struct </span>greater_equal_op { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a, B b) -&gt; decltype(a &gt;= b)  { <span class="keywordflow">return</span> a &gt;= b;  } };</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160; </div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;<span class="comment">/* generic unary operations */</span></div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160; </div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;<span class="keyword">struct </span>not_op                { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a) -&gt; decltype(!a)      { <span class="keywordflow">return</span> !a;      } };</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;<span class="keyword">struct </span>negation_op           { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a) -&gt; decltype(-a)      { <span class="keywordflow">return</span> -a;      } };</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="keyword">struct </span>greater_equal_zero_op { <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt; constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(A a) -&gt; decltype(a &gt;= 0)  { <span class="keywordflow">return</span> a &gt;= 0;  } };</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160; </div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160; </div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;<span class="comment">/* reductions for lists */</span></div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160; </div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;<span class="comment">// using auto -&gt; return value spec makes ICC 13.0 and 13.1 crash here, so we have to hack it</span></div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;<span class="comment">// together in front... (13.0 doesn&#39;t work with array_prod/array_reduce/... anyway, but 13.1</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;<span class="comment">// does...</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span>... Ts&gt;</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;EIGEN_DEVICE_FUNC constexpr EIGEN_STRONG_INLINE decltype(reduce&lt;product_op, Ts...&gt;::run((*((Ts*)0))...)) arg_prod(Ts... ts)</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;{</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;  <span class="keywordflow">return</span> reduce&lt;product_op, Ts...&gt;::run(ts...);</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;}</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160; </div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span>... Ts&gt;</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;constexpr EIGEN_STRONG_INLINE decltype(reduce&lt;sum_op, Ts...&gt;::run((*((Ts*)0))...)) arg_sum(Ts... ts)</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;{</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;  <span class="keywordflow">return</span> reduce&lt;sum_op, Ts...&gt;::run(ts...);</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;}</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160; </div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;<span class="comment">/* reverse arrays */</span></div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160; </div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Array, <span class="keywordtype">int</span>... n&gt;</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;constexpr EIGEN_STRONG_INLINE Array h_array_reverse(Array arr, numeric_list&lt;int, n...&gt;)</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;{</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;  <span class="keywordflow">return</span> {{array_get&lt;<span class="keyword">sizeof</span>...(n) - n - 1&gt;(arr)...}};</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;}</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160; </div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;constexpr EIGEN_STRONG_INLINE array&lt;T, N&gt; array_reverse(array&lt;T, N&gt; arr)</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;{</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;  <span class="keywordflow">return</span> h_array_reverse(arr, <span class="keyword">typename</span> gen_numeric_list&lt;int, N&gt;::type());</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;}</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160; </div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160; </div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;<span class="comment">/* generic array reductions */</span></div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160; </div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="comment">// can&#39;t reuse standard reduce() interface above because Intel&#39;s Compiler</span></div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;<span class="comment">// *really* doesn&#39;t like it, so we just reimplement the stuff</span></div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;<span class="comment">// (start from N - 1 and work down to 0 because specialization for</span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;<span class="comment">// n == N - 1 also doesn&#39;t work in Intel&#39;s compiler, so it goes into</span></div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="comment">// an infinite loop)</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> T, std::size_t N, std::size_t n = N - 1&gt;</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;<span class="keyword">struct </span>h_array_reduce {</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;  EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">auto</span> run(array&lt;T, N&gt; arr, T identity) -&gt; decltype(Reducer::run(h_array_reduce&lt;Reducer, T, N, n - 1&gt;::run(arr, identity), array_get&lt;n&gt;(arr)))</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;  {</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;    <span class="keywordflow">return</span> Reducer::run(h_array_reduce&lt;Reducer, T, N, n - 1&gt;::run(arr, identity), array_get&lt;n&gt;(arr));</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;  }</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;};</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160; </div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> T, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;<span class="keyword">struct </span>h_array_reduce&lt;Reducer, T, N, 0&gt;</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;{</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;  EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE T run(<span class="keyword">const</span> array&lt;T, N&gt;&amp; arr, T)</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;  {</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;    <span class="keywordflow">return</span> array_get&lt;0&gt;(arr);</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;  }</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;};</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160; </div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;<span class="keyword">struct </span>h_array_reduce&lt;Reducer, T, 0&gt;</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;{</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  EIGEN_DEVICE_FUNC constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE T run(<span class="keyword">const</span> array&lt;T, 0&gt;&amp;, T identity)</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  {</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;    <span class="keywordflow">return</span> identity;</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;  }</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;};</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160; </div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> T, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;EIGEN_DEVICE_FUNC constexpr EIGEN_STRONG_INLINE <span class="keyword">auto</span> array_reduce(<span class="keyword">const</span> array&lt;T, N&gt;&amp; arr, T identity) -&gt; decltype(h_array_reduce&lt;Reducer, T, N&gt;::run(arr, identity))</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;{</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;  <span class="keywordflow">return</span> h_array_reduce&lt;Reducer, T, N&gt;::run(arr, identity);</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;}</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160; </div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;<span class="comment">/* standard array reductions */</span></div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160; </div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;EIGEN_DEVICE_FUNC constexpr EIGEN_STRONG_INLINE <span class="keyword">auto</span> array_sum(<span class="keyword">const</span> array&lt;T, N&gt;&amp; arr) -&gt; decltype(array_reduce&lt;sum_op, T, N&gt;(arr, <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(0)))</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;{</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;  <span class="keywordflow">return</span> array_reduce&lt;sum_op, T, N&gt;(arr, <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(0));</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;}</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160; </div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;EIGEN_DEVICE_FUNC constexpr EIGEN_STRONG_INLINE <span class="keyword">auto</span> array_prod(<span class="keyword">const</span> array&lt;T, N&gt;&amp; arr) -&gt; decltype(array_reduce&lt;product_op, T, N&gt;(arr, <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(1)))</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;{</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;  <span class="keywordflow">return</span> array_reduce&lt;product_op, T, N&gt;(arr, <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(1));</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;}</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160; </div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> t&gt;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE t array_prod(<span class="keyword">const</span> std::vector&lt;t&gt;&amp; a) {</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;  eigen_assert(a.size() &gt; 0);</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;  t prod = 1;</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; a.size(); ++i) { prod *= a[i]; }</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;  <span class="keywordflow">return</span> prod;</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;}</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160; </div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;<span class="comment">/* zip an array */</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160; </div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, <span class="keyword">typename</span> B, std::size_t N, <span class="keywordtype">int</span>... n&gt;</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;constexpr EIGEN_STRONG_INLINE array&lt;decltype(Op::run(A(), B())),N&gt; h_array_zip(array&lt;A, N&gt; a, array&lt;B, N&gt; b, numeric_list&lt;int, n...&gt;)</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;{</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;  <span class="keywordflow">return</span> array&lt;decltype(Op::run(A(), B())),N&gt;{{ Op::run(array_get&lt;n&gt;(a), array_get&lt;n&gt;(b))... }};</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;}</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160; </div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, <span class="keyword">typename</span> B, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;constexpr EIGEN_STRONG_INLINE array&lt;decltype(Op::run(A(), B())),N&gt; array_zip(array&lt;A, N&gt; a, array&lt;B, N&gt; b)</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;{</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  <span class="keywordflow">return</span> h_array_zip&lt;Op&gt;(a, b, <span class="keyword">typename</span> gen_numeric_list&lt;int, N&gt;::type());</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;}</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160; </div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;<span class="comment">/* zip an array and reduce the result */</span></div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160; </div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, <span class="keyword">typename</span> B, std::size_t N, <span class="keywordtype">int</span>... n&gt;</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;constexpr EIGEN_STRONG_INLINE <span class="keyword">auto</span> h_array_zip_and_reduce(array&lt;A, N&gt; a, array&lt;B, N&gt; b, numeric_list&lt;int, n...&gt;) -&gt; decltype(reduce&lt;Reducer, <span class="keyword">typename</span> id_numeric&lt;<span class="keywordtype">int</span>,n,decltype(Op::run(A(), B()))&gt;::type...&gt;::run(Op::run(array_get&lt;n&gt;(a), array_get&lt;n&gt;(b))...))</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;{</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;  <span class="keywordflow">return</span> reduce&lt;Reducer, <span class="keyword">typename</span> id_numeric&lt;int,n,decltype(Op::run(A(), B()))&gt;::type...&gt;::run(Op::run(array_get&lt;n&gt;(a), array_get&lt;n&gt;(b))...);</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;}</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160; </div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, <span class="keyword">typename</span> B, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;constexpr EIGEN_STRONG_INLINE <span class="keyword">auto</span> array_zip_and_reduce(array&lt;A, N&gt; a, array&lt;B, N&gt; b) -&gt; decltype(h_array_zip_and_reduce&lt;Reducer, Op, A, B, N&gt;(a, b, <span class="keyword">typename</span> gen_numeric_list&lt;int, N&gt;::type()))</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;{</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;  <span class="keywordflow">return</span> h_array_zip_and_reduce&lt;Reducer, Op, A, B, N&gt;(a, b, <span class="keyword">typename</span> gen_numeric_list&lt;int, N&gt;::type());</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;}</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160; </div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;<span class="comment">/* apply stuff to an array */</span></div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160; </div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, std::size_t N, <span class="keywordtype">int</span>... n&gt;</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;constexpr EIGEN_STRONG_INLINE array&lt;decltype(Op::run(A())),N&gt; h_array_apply(array&lt;A, N&gt; a, numeric_list&lt;int, n...&gt;)</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;{</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;  <span class="keywordflow">return</span> array&lt;decltype(Op::run(A())),N&gt;{{ Op::run(array_get&lt;n&gt;(a))... }};</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;}</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160; </div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;constexpr EIGEN_STRONG_INLINE array&lt;decltype(Op::run(A())),N&gt; array_apply(array&lt;A, N&gt; a)</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;{</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;  <span class="keywordflow">return</span> h_array_apply&lt;Op&gt;(a, <span class="keyword">typename</span> gen_numeric_list&lt;int, N&gt;::type());</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;}</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160; </div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;<span class="comment">/* apply stuff to an array and reduce */</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160; </div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, std::size_t N, <span class="keywordtype">int</span>... n&gt;</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;constexpr EIGEN_STRONG_INLINE <span class="keyword">auto</span> h_array_apply_and_reduce(array&lt;A, N&gt; arr, numeric_list&lt;int, n...&gt;) -&gt; decltype(reduce&lt;Reducer, <span class="keyword">typename</span> id_numeric&lt;<span class="keywordtype">int</span>,n,decltype(Op::run(A()))&gt;::type...&gt;::run(Op::run(array_get&lt;n&gt;(arr))...))</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;{</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;  <span class="keywordflow">return</span> reduce&lt;Reducer, <span class="keyword">typename</span> id_numeric&lt;int,n,decltype(Op::run(A()))&gt;::type...&gt;::run(Op::run(array_get&lt;n&gt;(arr))...);</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;}</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160; </div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Reducer, <span class="keyword">typename</span> Op, <span class="keyword">typename</span> A, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;constexpr EIGEN_STRONG_INLINE <span class="keyword">auto</span> array_apply_and_reduce(array&lt;A, N&gt; a) -&gt; decltype(h_array_apply_and_reduce&lt;Reducer, Op, A, N&gt;(a, <span class="keyword">typename</span> gen_numeric_list&lt;int, N&gt;::type()))</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;{</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;  <span class="keywordflow">return</span> h_array_apply_and_reduce&lt;Reducer, Op, A, N&gt;(a, <span class="keyword">typename</span> gen_numeric_list&lt;int, N&gt;::type());</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;}</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160; </div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;<span class="comment">/* repeat a value n times (and make an array out of it</span></div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;<span class="comment"> * usage:</span></div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;<span class="comment"> *   array&lt;int, 16&gt; = repeat&lt;16&gt;(42);</span></div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160; </div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n&gt;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;<span class="keyword">struct </span>h_repeat</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;{</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> t, <span class="keywordtype">int</span>... ii&gt;</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;  constexpr <span class="keyword">static</span> EIGEN_STRONG_INLINE array&lt;t, n&gt; run(t v, numeric_list&lt;int, ii...&gt;)</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;  {</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;    <span class="keywordflow">return</span> {{ <span class="keyword">typename</span> id_numeric&lt;int, ii, t&gt;::type(v)... }};</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;  }</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;};</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160; </div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> n, <span class="keyword">typename</span> t&gt;</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;constexpr array&lt;t, n&gt; repeat(t v) { <span class="keywordflow">return</span> h_repeat&lt;n&gt;::run(v, <span class="keyword">typename</span> gen_numeric_list&lt;int, n&gt;::type()); }</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160; </div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;<span class="comment">/* instantiate a class by a C-style array */</span></div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class </span>InstType, <span class="keyword">typename</span> ArrType, std::size_t N, <span class="keywordtype">bool</span> Reverse, <span class="keyword">typename</span>... Ps&gt;</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;<span class="keyword">struct </span>h_instantiate_by_c_array;</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160; </div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class </span>InstType, <span class="keyword">typename</span> ArrType, std::size_t N, <span class="keyword">typename</span>... Ps&gt;</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;<span class="keyword">struct </span>h_instantiate_by_c_array&lt;InstType, ArrType, N, false, Ps...&gt;</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;{</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;  <span class="keyword">static</span> InstType run(ArrType* arr, Ps... args)</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;  {</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;    <span class="keywordflow">return</span> h_instantiate_by_c_array&lt;InstType, ArrType, N - 1, false, Ps..., ArrType&gt;::run(arr + 1, args..., arr[0]);</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;  }</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;};</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160; </div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class </span>InstType, <span class="keyword">typename</span> ArrType, std::size_t N, <span class="keyword">typename</span>... Ps&gt;</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;<span class="keyword">struct </span>h_instantiate_by_c_array&lt;InstType, ArrType, N, true, Ps...&gt;</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;{</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;  <span class="keyword">static</span> InstType run(ArrType* arr, Ps... args)</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;  {</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;    <span class="keywordflow">return</span> h_instantiate_by_c_array&lt;InstType, ArrType, N - 1, false, ArrType, Ps...&gt;::run(arr + 1, arr[0], args...);</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;  }</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;};</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160; </div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class </span>InstType, <span class="keyword">typename</span> ArrType, <span class="keyword">typename</span>... Ps&gt;</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;<span class="keyword">struct </span>h_instantiate_by_c_array&lt;InstType, ArrType, 0, false, Ps...&gt;</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;{</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;  <span class="keyword">static</span> InstType run(ArrType* arr, Ps... args)</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;  {</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;    (void)arr;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;    <span class="keywordflow">return</span> InstType(args...);</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;  }</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;};</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160; </div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class </span>InstType, <span class="keyword">typename</span> ArrType, <span class="keyword">typename</span>... Ps&gt;</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;<span class="keyword">struct </span>h_instantiate_by_c_array&lt;InstType, ArrType, 0, true, Ps...&gt;</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;{</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;  <span class="keyword">static</span> InstType run(ArrType* arr, Ps... args)</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;  {</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;    (void)arr;</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;    <span class="keywordflow">return</span> InstType(args...);</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;  }</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;};</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160; </div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> InstType, <span class="keyword">typename</span> ArrType, std::<span class="keywordtype">size_t</span> N, <span class="keywordtype">bool</span> Reverse = false&gt;</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;InstType instantiate_by_c_array(ArrType* arr)</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;{</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;  <span class="keywordflow">return</span> h_instantiate_by_c_array&lt;InstType, ArrType, N, Reverse&gt;::run(arr);</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;}</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160; </div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160; </div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160; </div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_CXX11META_H</span></div>
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